Question 467781: simplify the following expression.
√-6√-42
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! √-6 √-42
= √-1 √6 √-1 √42 {factored -1 out of the negative square roots}
= i√6 i√42 {the square root of -1 is i, in imaginary numbers}
= iČ √252 {multiplied i by i and √6 by √42}
= (-1) √36 √7 {in imaginary numbers, iČ = -1, broke down the square root of 252}
= (-1)(6)√7 {evaluated the square root of 36 to be 6}
= -6 √7 {multiplied -1 by 6}
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